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For the polynomial function ƒ(x) = .5x3 + .25x2 + .125x + .0625, find the zeros. Then determine the multiplicity at each zero and state whether the graph displays the behavior of a touch or a cross at each intercept.x = .5, touchx = −.5, touchx = .5, crossx = −.5, cross

Respuesta :

Given:

The polynomial is

[tex]f(x)=.5x^3+.25x^2+.125x+0.0625[/tex]

Required:

Find the zeros. Then determine the multiplicity at each zero and state whether the graph displays the behavior of a touch or a cross at each intercept.

Explanation:

The zeros of polynomial are

[tex]\begin{gathered} x\approx0.5 \\ x=\pm0.5i \end{gathered}[/tex]

Now,

So, graph is crossing at -0.5

Answer:

Hence, fourth option is correct.

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